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Finding the Fourth Proportional to 98,433.68, 147,546.84 and 49,082

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Solution

The fourth proportional to 98,433.68, 147,546.84 and 49,082 is: 73,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,433.68 : 147,546.84 = 49,082 : x
  2. Step 2: Convert to fraction form
    98,433.68/147,546.84 = 49,082/x
  3. Step 3: Cross multiply
    98,433.68x = 147,546.84 × 49,082
  4. Step 4: Simplify right side
    98,433.68x = 7,241,894,000.88
  5. Step 5: Solve for x
    x = 7,241,894,000.88/98,433.68
  6. Step 6: Final answer
    x = 73,571.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.